5.1 - Worksheet #1 - Coulomb’s Law Questions Minimum: 1-6 Challenge: 7 1. A helium nucleus has charge +2e and a neon nucleus +10e, where e = 1.602 x 10-19 coul. With what force do they repel each other when separated by 3.00 x 10-9 meters? 2. If two equal charges, each of 1.00 coulomb, were separated in air by a distance of 1.00 km, what would be the force between them? 3. Determine the force between two free electrons spaced 1 angstrom (1.0 x 10-10 m) apart. 4. What is the force of repulsion between two argon nuclei when separated by 1 millimicron (1.0 x 10-9 m)? The charge on an argon nucleus is +18e. 5. Two equally charged pith balls are 3 cm apart in air and repel each other with a force of 4 x 10-5 N. Compute the charge on each ball. 6. Two small equal pith balls are 3.0 cm apart in air and carry charges of +3.0 x 10-9 and –12 x 10-9 C respectively. Compute the force of attraction. 7. The normal hydrogen atom consists of a proton nucleus and an orbital electron, each carrying the fundamental charge of magnitude e = 1.602 x 10-19 C. Assuming that the electron orbit is circular and the separation between the particles is 5.3 x 10-11 meters, find: a) the force of electrical attraction between the particles b) the gravitational force of attraction between them c) which force is larger? How many times? (mass e- = 9.11 x 10-31 kg ; p+ = 1.67 x 10-27 kg) 8. +5e -4e 2 cm 1 cm What is the net force on the sphere having charge of –4e? +2e 9. Charges of +2, +3 and –8 microcoulombs are placed in air at the vertices of an equilateral triangle of side 10 cm. Calculate the magnitude of the force acting on the -8µc due to the other two charges. (1 microcoulomb (1 µc) = 1 x 10-6 C) Answers for Coulomb’s Law Questions 5.13 x 10-10 N 8990 N repulsion 2.3 x 10-8 N repulsion 7.46 x 10-8 N 2 x 10-9 C 3.6 x 10 –4 N a) 8.2 x 10-8 N b) 3.6 x 10-47 N c) Electrical force 2.3 x 10-47 times greater 8. Fnet = 2.16 x 10-23 N L58°D 9. 31.1 N 1. 2. 3. 4. 5. 6. 7.
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